Algebra A Semester 2 Final Review
Read Directions, show all your work, and circle your final answers
Solve each equation. State your answers in exact form.
1.
4x – 2 + 7x = 20
2.
3(x – 4) = 9
3.
1
1
2x - + 5x =
4
4
4.
3x +1= -11
5.
5(x + 1) + 2 = 2x + 11
6.
4x – (x + 6) = 3x – 4
7.
2x – 4 = 2(6 – 7x)
8.
1 + 2(x + 1) = 3 + 4(x + 5)
9.
x
-2 = 4
5
10.
3x - 2(2x -1) =1+ 4x
For the following word problems, write and solve equations.
11.
Kellen worked 38 hours last week. He had $88 deducted from his earnings for taxes. If he had $273 left
after the deduction. How much does Kellen make per hour?
12.
The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. Find the width and
length.
13.
The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Find the width and
length.
14.
The temperature outside is rising 4 degrees per hour. If it is 58 degrees at 7am, when will it be 74?
15.
Lucy is an electrician. She charges $60 for a house call, and $75 per hour while she is there. If her fee is
$322.50 for a particular visit, how long did she work?
Solve each inequality and graph the solution on a number line.
16.
2x + 8 ≥ 11
17.
-2x + 5 ³ -3
18.
4x - 5 > x - 26
19.
1-3x > x + 9
For each relation, state the domain and range, and determine if the relation is a function. Explain.
20.
{(2, 3), (-3, 9), (2, 5), (5, 2)}
21.
{(7, 13), (8, 4), (-12, 4)}
Complete the table of values, and draw the graph for each equation.
22.
y = -2x + 3
x
23.
y
1
y = x-5
2
x
y
Write an equation to represent each of the table of values
24.
x
y
-4
28
-2
20
0
12
2
4
4
-4
6
-12
25.
x
y
-9
-8
-6
-5
-3
-2
0
1
3
4
6
7
9
10
Write each equation in slope-intercept form and draw the graph.
26.
3x + 2y = 8
27.
x – 2y = 6
28.
-4x + 3y + 9 = 0
Write the equation of the line described in point-slope form, slope-intercept form, and standard form.
Point-Slope Form
Slope-Intercept Form
Standard Form
29. (4, 1) (9, 6)
30. (0, -4) (-2, -10)
31. (-2, 3) (2, 5)
Graph by finding the intercepts
32. 3x +2y= 8
33. -5x+6y = -30
34. -7x – 4y = 28
35. 3x – y = 9
Graph the following linear inequalities
36. y > 4x-6
37. 3x – y > 6
38. y   x  1
39. x - 4y ³ -8